Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives

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作者
Mohamed Jleli
Bessem Samet
Yong Zhou
机构
[1] King Saud University,Department of Mathematics, College of Science
[2] Macau University of Science and Technology,Faculty of Information Technology
[3] Xiangtan University,Faculty of Mathematics and Computational Science
关键词
Lyapunov-type inequalities; Caputo-type fractional derivative; Systems; 26D10; 34A08; 26A33;
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摘要
A Lyapunov-type inequality is derived for a nonlinear fractional boundary value problem involving Caputo-type fractional derivative. The obtained inequality provides a necessary condition for the existence of nontrivial solutions to the considered problem. Next, we extend our study to the case of systems.
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